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Finding the Third Proportional to 30,283.50 and 70,734

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Solution

The third proportional to 30,283.50 and 70,734 is: 165,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.50 : 70,734 = 70,734 : x
  2. Step 2: Convert to fraction form
    30,283.50/70,734 = 70,734/x
  3. Step 3: Cross multiply
    30,283.50x = 70,734 × 70,734
  4. Step 4: Simplify right side
    30,283.50x = 5,003,298,756
  5. Step 5: Solve for x
    x = 5,003,298,756/30,283.50
  6. Step 6: Final answer
    x = 165,215.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.